1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 9, 9 find the median

To find the median of a dataset, we need to arrange the numbers in ascending order (if they are not already) and then identify the middle value. Since the numbers are already sorted, we can directly find the median.

### Steps to Find the Median:

1. **Count the Total Number of Data Points**: The dataset has 26 numbers.
   
2. **Determine if the Count is Odd or Even**:
   - Since 26 is an even number, the median will be the average of the two middle numbers.

3. **Identify the Two Middle Numbers**:
   - The middle positions for 26 numbers are the 13th and 14th values in the ordered list.

4. **Find the 13th and 14th Numbers in the List**:
   - Counting the numbers, the 13th number is **5**, and the 14th number is also **5**.

5. **Calculate the Median**:
   - Since both middle values are 5, the median is:
   \[
   \text{Median} = \frac{5 + 5}{2} = 5
   \]

### Conclusion:

The median of the dataset is **5**.

Would you like more details or have any questions?

---

Here are some related questions you might find interesting:

1. What is the mode of the dataset?
2. How do you find the mean of a dataset?
3. What is the range of this dataset?
4. How does the median change if an additional number is added to the dataset?
5. What is the difference between the median and the mean?

**Tip**: The median is not affected by extremely high or low values, making it a good measure of central tendency when a dataset contains outliers.

Discover how to find the median of a dataset containing 26 numbers. Follow a detailed step-by-step guide that explains the process of identifying the middle value and calculating the median effectively. Suitable for students and individuals interested in statistics and measures of central tendency.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation